Interpolation estimates for edge finite elements and application to band gap computation

Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper we develop new interpolation estimates for three-dimensional edge finite elements which require minimal regularity assumptions on the vectorfield to be approximated. These estimates turn out to be essential in our convergence analysis for edge element approximation of band gaps associated with photonic crystals. © 2006 IMACS.
Original languageEnglish (US)
Pages (from-to)1283-1292
Number of pages10
JournalApplied Numerical Mathematics
Volume56
Issue number10-11 SPEC. ISS.
DOIs
StatePublished - Oct 1 2006
Externally publishedYes

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